Divisions of Mathematics

ALGEBRA

Number Theory

Combinatorics

Algebra Abstract

Group Theory

Ring Theory

Vector Theory

ANALYSIS

Functional Analysis

Calculus

Differential Equations

Vector and Tensor Analysis

Real and Complex Analysis

FOUNDATIONS

Category Theory

Set Theory

Recursion Theory

Logic

GEOMETRY AND TOPOLOGY

Euclidean and Non-Euclidean Geometry

Affine, Metric,
Projective Geometry

Discrete Geometry

Differential Geometry

Algebraic Geometry

APPLIED MATHEMATICS

Systems and Control Theory

Game Theory

Statistics

Probability